Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Re

Question

Consider the ANOVA table that follows. Analysis of Variance Source DF SS MS F Regression 3 3707.90 1235.97 23.11 Residual Error 46 2460.01 53.48 Total 49 6167.91 (a-1) Determine the standard error of estimate. (Round your answer to 2 decimal places.) Standard error of estimate (a-2) About 95% of the residuals will be between what two values? (Negative amounts should be indicated by a minus sign. Round your answers to 2 decimal places.) 95% of the residuals will be between and . (b-1) Determine the coefficient of multiple determination. (Round your answer to 3 decimal places.) Coefficient of multiple determination value is . (b-2) Determine the percentage variation for the independent variables. (Round your answer to 1 decimal place.) The independent variables explain % of the variation. (c) Determine the coefficient of multiple determination, adjusted for the degrees of freedom. (Round your answer to 3 decimal places.) Coefficient of multiple determination, adjusted for the degrees of freedom

Explanation / Answer

Part-a-1

Standard error =sqrt(MSE)=sqrt(53.48)=7.331

Part-a-2 95% of residuals will be found between -7.331 to +7.331

Part-b-1

Coefficient of multiple determination R2=SSR/SST=3707.90/6167.91 =0.601

Part-b-2

The independent variables explain 60.1% of the variation.

Part-c

Adjusted coefficient of multiple determination Adj R2= 1-MSE/(SST/(n-1))

=1-53.48/(6167.92/49)

=0.575

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